Question

I meet help number 8

Answer 1

a. sale 15% off

he paid $150

We have:

100% - 15% = 85%

We can express 85% as 0.85 this is what was paid for the coat. Then

let x = original price

`\begin{gathered} 150=x\cdot0.85 \\ (150)/(0.85)=x\cdot(0.85)/(0.85) \\ x=176.47 \end{gathered}`

Answer: the original price was $176.47

b. We have:

change by -23%

the account's value $26,160

let x = value before this change

`\begin{gathered} 26160=x-x\cdot0.23 \\ 26160=x(1-0.23) \\ 26160=x\cdot0.77 \\ (26160)/(0.77)=x\cdot(0.77)/(0.77) \\ x=33974.03 \end{gathered}`

Answer: the value before this change was $33,974.03